GCD of 428, 494, 900, 493 Calculator

Given Input numbers are 428, 494, 900, 493

In the factoring method, we have to find the divisors of all numbers

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

GCD of numbers is the greatest common divisor

So, the GCD (428, 494, 900, 493) = 1.

Given numbers are 428, 494, 900, 493

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 494 are 2 x 13 x 19

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 493 are 17 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 428, 494, 900, 493

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(428, 494) = 105716

GCD(428, 494) = ( 428 x 494 ) / 105716

= 428 / 494

= 428

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

= 2 / 493

= 2

So, Greatest Common Divisor of 428, 494, 900, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 795, 125, 453
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• GCD of 657, 729, 266, 705
• GCD of 665, 826, 652, 313
• GCD of 422, 388, 727, 237

Given numbers are 428, 494, 900, 493
The greatest common divisor of numbers 428, 494, 900, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 494, 900, 493 is 1.

1. What is the GCD of 428, 494, 900, 493?

GCD of given numbers 428, 494, 900, 493 is 1

2. How to calculate the greatest common divisor of 428, 494, 900, 493?

We can find the highest common divisor of 428, 494, 900, 493 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 428, 494, 900, 493 i.e 1.

3. How can I use the GCD of 428, 494, 900, 493Calculator?

Out the numbers 428, 494, 900, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.